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maks197457 [2]
1 year ago
13

A converging lens of focal length 5 cm is placed at a distance of 20

Mathematics
1 answer:
lesya [120]1 year ago
4 0

The object should be placed 20/cm from the lens so as to form its real image on the screen

<h3>Mirror equation</h3>

The mirror equation is given according to the expression below;

1/f = 1/u + 1/v

where

f is the focal length

u is the object distance

v is the image distance

Given the following parameters

f = 5cm

v = 20cm

Required

object distance u

Substitute

1/5 = 1/u +1/20

1/u = 1/5-1/20
1/u = 3/20

u = 20/3 cm

Hence the object should be placed 20/cm from the lens so as to form its real image on the screen

Learn more on mirror equation here; brainly.com/question/27924393

#SPJ1

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To \ find \ the \ y-axis \ intersection \ point, \\set \ x \ equal \ to \ zero \ and \ solve \ for \ y : \\ \\x=0 \ \to y=-4 \cdot 0+8\\ y=8 \\ point: \ \ (0,8)


y=-\frac{1}{3}x+\frac{8}{3}\\\\ \ the \ x-axis \ intersection \ point \\ \\y=0 \ \to 0=-\frac{1}{3}x+\frac{8}{3}\\ \frac{1}{3}x=\frac{8}{3} \ \ | \ multiply\ both\ sides\ by\ 3 \\\\x=8 \\\\point: \ \ (8,0)

the \ y-axis \ intersection \ point \\ \\x=0 \ \to y=-\frac{1}{3} \cdot 0+\frac{8}{3} \\ y=\frac{8}{3} \\ point : \ \ (0,\frac{8}{3})


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3 0
3 years ago
Find the value of pq - r/4 when p= -8 and q= -3 and r= 68
andrey2020 [161]

Answer:

7

Step-by-step explanation:

pq - r/4

(-8)(-3) - 68/4

-8 x -3 = 24 (2 negatives equal a positive)

24 - 68/4

68/4 = 17

24-17 = 7

6 0
3 years ago
From a group of 8 people, including George and Nina, 3 people are to be selected at random to work on a certain project. What is
cestrela7 [59]

Answer:\frac{15}{56}

Step-by-step explanation:

We have to select george but not nina with two other people

No. of ways  selecting 2 two people knowing Geroge will be the third one is

^6C_2 (beacuse we have to exclude Nina)

And total no of ways of selecting 3 people out of 8 people is ^8C_3

Therefore the required Probability is \frac{^6C_{2}}{^8C_{3}}    

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3 years ago
Solve and reduce to lowest terms: x =<br> Please don't make it to long
dusya [7]

Answer:

2/11

Step-by-step explanation:

6 = 2 x 3

6/11 x 1/3

= ( 6 x 1 )/( 11 x 3 )

= ( 2 x 3 x 1 )/( 11 x 3 )

Cancel 3 in both numerator and denominator.

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2 years ago
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VashaNatasha [74]

Answer:

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

Step-by-step explanation:

Sample information:

Size     n = 100

mean   x = 28,5

Population information

μ₀  =  30

Standard deviation  σ   = 8

Test Hypothesis

Null Hypothesis          H₀                x =  μ₀

Alternative Hypothesis   Hₐ           x <  μ₀

We assume CI = 95 %   then α = 5 %    α = 0,05

As the alternative hypothesis suggest we should develop a one tail-test on the left ( we need to find out if the cream have any effect on the rash), effects on the rash could be measured as days of recovery

A z(c) for 0,05 from z-table is:  z(c) = - 1,64

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z(s) = - 1,5 * 10 / 8

z(s) =  - 1,875

Comparing z(s)  and z(c)

|z(s)| < |z(c)|        1,875  > 1,64

z(s) is in the rejection  region. We reject  H₀. We dont have enought evidence to support that the cream has effect over the recovery time

3 0
3 years ago
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